No, the given lengths of 2, 5, and 7 do not satisfy the triangle inequality theorem. According to the theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, 2 + 5 = 7, which is not greater than 7. Therefore, a triangle with sides of length 2, 5, and 7 cannot exist.
Can the sides of a triangle have lengths 2, 5, and 7?
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